Macaulay2 » Documentation
Packages » Varieties :: euler(CoherentSheaf)

Synopsis

• Function: euler

• Usage:

  euler F

• Inputs:
  • F, a coherent sheaf
• Outputs:
  • an integer, the Euler characteristic of the cohomology of the sheaf

Description

The command returns chi(F) the Euler characteristic of the sheaf F i.e. the alternated sum of the dimensions of its cohomology groups

See also

• eulers(CoherentSheaf)
• genus